Poisson Structures

Authors:

ISBN: 978-3-642-31089-8 (Print) 978-3-642-31090-4 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages I-XXIV

  2. Theoretical Background

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-35

      Poisson Structures: Basic Definitions

    3. No Access

      Book Chapter

      Pages 37-61

      Poisson Structures: Basic Constructions

    4. No Access

      Book Chapter

      Pages 63-89

      Multi-Derivations and Kähler Forms

    5. No Access

      Book Chapter

      Pages 91-112

      Poisson (Co)Homology

    6. No Access

      Book Chapter

      Pages 113-157

      Reduction

  3. Examples

    1. Front Matter

      Pages 159-159

    2. No Access

      Book Chapter

      Pages 161-178

      Constant Poisson Structures, Regular and Symplectic Manifolds

    3. No Access

      Book Chapter

      Pages 179-203

      Linear Poisson Structures and Lie Algebras

    4. No Access

      Book Chapter

      Pages 205-232

      Higher Degree Poisson Structures

    5. No Access

      Book Chapter

      Pages 233-267

      Poisson Structures in Dimensions Two and Three

    6. No Access

      Book Chapter

      Pages 269-290

      R-Brackets and r-Brackets

    7. No Access

      Book Chapter

      Pages 291-325

      Poisson–Lie Groups

  4. Applications

    1. Front Matter

      Pages 327-327

    2. No Access

      Book Chapter

      Pages 329-351

      Liouville Integrable Systems

    3. No Access

      Book Chapter

      Pages 353-409

      Deformation Quantization

  5. Back Matter

    Pages 411-461